Role of diagonal tension crack in size effect of shear strength of deep beams

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o. J D (, Do T k x omp fu. Mxmum ( T popooy % off D(,T omp mou pmy of o po o o o fuo Fu of. T pm umy f mpu o T (Bž k ou. & Njj 97. W T of pm mou o m o ff qu o o of p m m of. m p u oum Mxmum of o ( o omp qu o of of mou o po fux o J o Fu. Fu o o k o of pm mm. T popo J of o k my ( m. If umpo u, T of z o ff xp u y u um of po ou o po. O o, (py, o po, k o o o o p o-po o of (my pm ou po y p (K 967. (M 966, Do Pzopouo k & M o 995. of o I po o o o y um po of o po o. fuo of T oo umy, of o, k of yo, ummz, Fu. of T fum o, of o k fom uppo,.. (,, -p mu u opo/opo x. / ff om p (No of Mjo 6 pm 997. U o. umpo T o y uu of k Equo oo m o Equo mxmum o o z (5 mm. I pouy of k p oy o z of. + ( D & + & + & (3 3 EVALUATION METHOD FO SHEA STENGTH OF DEEP BEAM / op of opo/opo om (o mou py. T 3. Tu A Mo o quo (Equo 3 mu omp Auo y ppop ouy popo u oo. mo o u T o of p C mou m of (Tk po. 5. I mo, umy ou of o opo k um om omp f mu u ou y um umy o opo. W om po o pp oppo o C. p N m u ff (X Fu. 3, 994, foo, u opo y foo om quo u f fom o quum o opo of fo opo u ym. oo. By y, f y of mou om ou k o.5 ou, o ff V k β f Z ( + ( / ( o, po umy, mu u o o of o of k uo of omp f y (N/mm umy. T p of opo. T uo m fom om fo HPC fu y my pm, Equo f o Co mo py o fu x of (Co. 993. m o, u, m po uu po z uo (-o-m. ( f 5 o, m m ompoo, SF o, k u (.6m + ( f mo, > 5 mpu, mx,.. f I u ou fomuo fou o opo om of om o β (X off. 994. of qu Ho, ok p m pp fom m-mp foo quo. xpo popo y No Mjo (997 op u xpy ou fo ouo of yo o 5 m SF o. T opo om /m 4 (N 3 (,, G (, Mx. o + ( Do k. (4 x Comp. ( M K (, 5 5 5 W of pm (mm f m ( om p Fu. Eff of pm o mxmum ( pyy po o. ou (o o m (py om p py. T xpo oy fo o o of SF. T 3 off G m p mou of /m p 5 u oum po % (N umy, xp (No Mjo 997 5 Comp. G (, k + k (5 Mx. o. x 5 Do k k k m pm. Fom M mxmum mou of p u oum 5 5 5 f po (o py po po, o u K W o o of pm (mm Fu. Eff of pm o mxmum ( po o..88 +. G k (6 K (, m 5mm ( m 8 o T m x pm k k 6. 53mm f o y f xpm o f (po u o o 4 ou (D Luzo & Cu 9. o L No.3 No.4 No.5 No. No.6 No.7. Tmpu ouo No, y, No. of pm m o o m yo SF o Fu xom,. D mpu o f k o uppo ufom u fo o- x. ym f om mpu o. H ouo β.5 + 8 ε o, u fo mpu (3 o x C (Bž & Kp 996, y, Fou ε u, pk of o. q 55 λ T f ε u.35 (7 (4 3 q fux, T ou Z u Equo of mpu, λ ouy; f foo. Po of FMCoS-7, My 3-8,

Z Z z( (5, Z of u x k fo o. z( o k u x x. H of u x fom foo quo y um fo omp of o. Z p ( + + ( p (6, p ff fom o, ff p mouu o o. I um o k pop om o o of pp. I u, of o k u foo. x z( x θ x (7, of o k fom uppo u x. I of po o, m fom Equo 8 f fom o.. /.7 ( ( <.7 ( /.7 / (8 θ Equo 7 o of o k. A u, foo op y um Ey Bou-Eu oy. z( x Z θ (9 x z( x By o Equo 5~9 umy, of Z o mo. 3. Mofo of Tu A Mo Bu o mo mo o z ff, off fo z ff qu. f o u Fu 7 8, off β f foo. / 6 ( / ( /. β ( : mm ( / 3 ( ( / / >. Popo mo o um py py / m o Fu 4. T o u fo py. T f k popo. I popo mo, o k um o pop up o o po o. Ho, k popo o p m u o -uo of f k. T Jo D (, T uo o u. Bu fxu-ompo oo um popo T mo, popooy qu off ok D(,T mou pmy o of Do umy k mpu z & Njj 97. T θ mou m x o Ifm m m of m oum of o ( o q CL of mou fux J z.5..5..5. Z x Z Do k J O of o k.7 (/..35 (/.5 Nu x 4 6 8 Eff p (mm + ( D + Fu 4. of o pm (Equo pp fo z ff. 5 4 3 š T o xp of po (py Fu 3. Dfo po, of o mo of o-. (my ou (M Pzopouo & M 995. I um po fu umy,, of yo of fum o,,.. -p opo/opo (No Mjo 997. U um y uu Equo o Equ o Exp m (..8 ( + / & & + / op of opo/ om (o mou p o quo (Equo 3 mu y ppop ouy o T o mou of 4. umy β β om f mu umy opo om. N ff (X. foo, opo om f o o opo 3 opo By y, f y of / om ou k o ou, o Fu 5. Mofo o, off po β ff of um /. u o o of y umy. T p of. om fo HPC fu y my p py o fu x.5. m o, u, m. uu po z uo (o, m m ompoo, SF.5. u m mo, mpu, mx.. I u ou fomuo 4 6 8 fou o opo om Eff p (mm o (X. 994. Ho, Fu 6. pp of o m-mp pm (Equo xpo po pp fo mo. No Mjo (997 op Po of FMCoS-7, My 3-8,

u J D ( o, m T omp of o ( u. T umpo ppop fo o o T m. popooy O o off, D(,T oo of o mou u pmy p m ou o o fuo m o of x ompo. umy Fo mpu o, T (Bž & Njj o u 97. o T mou off m β qu o /. o m of m p u oum of o ( o qu o 4. β of mou ( β. fux J (.8 + ( / J ( T quo f o m u uy ( F. 5. Upp m. (/ T u o o o xp um of po /. (py, po, A u, o quo fo o-po mof (my o ou Equo. (M 966, Pzopouo & M 995. I o o um po.5 V k fuo β β β f Z ( + ( / ( of umy,, of yo,, of fum o,,.. (,, T quo o.~. /. -p opo/opo om Em omp (No Mjo 997. U umpo u Fu 6. I u mo y uu Equo o Equo o mof o m u uy. o 3.3 B fu o + ( D & + & + & (3 Tu mo m fu o o o u f ompo. Ho, mo o fu / op of opo/opo ou ou p u um fu mo ff. W p m om (o mou py. T o quo (Equo 3 mu omp f fu mo, o mo y ppop ouy oo. mo qu. T o mou of po I uy, um fu umy opo ou. om f mu y Foo umpo, fu o o fom Equo 3. umy opo om oppo. N ff (X. 994, foo, opo om u f V k o fo opo opo oo. (3 By y, f y of mou om ou k o ou, o ff um of o po ( o, o, po umy, mu of p k o of o omp. f o u o o of o of y umy. T p of opo Fu, k um.. I Equo 3, pf oo um. Ho, p - om fo HPC fu y my pm, py o fu x of po ou pmu fu my ou m o, u, m po o p o uu po z uo (-o-m o moo (Kou. 6. o, m m ompoo, SF o, u m mo, mpu, mx, 3.4.. Y I Lo u ou fomuo fou o opo om of om S fo y u fom Equo o (X. 994. Ho, p 4. T quo fom quum of pp m-mp xpo popo y fo u oy. No Mjo (997 op u xpy A f ou fo ouo of yo y Vo (4 y / SF o. T opo om 3.5 Vfo of Popo Mo (,, G (, B fu + 3. Y ( S fu.5. ( K (,.5 +%. «%.5 A..5 C.V. 4.4% *. B fu 3. Y S fu G (, k + k.5 A..6 C.V. 7.7%. * S fo fu.5 +%. u K «%.5 o o. 5 5 5.88 +. G Eff p (mm K (, Fu 8. Compo u N quo. B fu T m 3. pm k Y k S fu.5 A..4 C.V..%. * S fo fu.5 +%. «%.5 (4 f m ( om p pyy ou (o o m (py om p py. T xpo 5 5 oy fo o 5 o of SF. T off Eff G p p (mm mou of p u oum po % Fu 7. Compo u JSCE quo. umy, xp (No Mjo 997 (5 k k m pm. Fom mxmum mou of p u oum f po (o py po po, o (6 y f xpm o f (po o o ou (D Luzo & Cu 9.. Tmpu ouo No, y, m o o m yo SF o. xom, mpu f o ufom fo o- ym 5 5 f om 5 mpu o. Eff H p ouo (mm o, fo mpu o Fu 9. Compo u popo x C (Bž & Kp 996, y mo. Fou, Mof u mo f q λ T p (Mooy. 954; My (7 & W 963; Ck 95; T & Lu 999; O & S. q Ey pm fux, o T o ou fom. mpu, T λ of ouy; fo of o T 4. Po of FMCoS-7, My 3-8,

T 4. of xpm o p. J D (, T T popooy off D(,T mou pmy o of umy mpu & Njj 97. T mou m o m of m oum of o ( o q of mou fux J S of p o m m mmum u quo -4. S of pm m JSCE quo N quo o omp popo mo. JSCE quo foo. V β β β f / γ (6 p, β 4 / ( : mm u β. 5, β 3 p p / u β. 5, p, γ. uy. f. 9 f O o, N quo foo. f 3 ( + p { + 3.33 ( / } V.44 (7 + ( / Eu omp u Fu 7-9. S fu u y u JSCE quo, N quo popo mo, py. T f o o fu mo fu. T pm f o fu f fu mo fu f u o f fu mo xp fu y popo mo. T pm f o y f fu o y o o pm f o fu. JSCE quo u fo mo Fu 7. A of JSCE quo of o. Ho, u fy of fu mo. T fu fo quo. A of N quo popo mo o o. omp JSCE quo o Fu 8-9. I, J o om f fu mo m fu. B fu T o o oy xp oo. Tfo, of po fu (py ou po, o x omp o-. To mpo (my popo ou mo, Equo 3 (M ou mof Pzopouo fuu. & M 995. I um po fu umy,, of yo 4 CONCULUSIONS of fum o,,.. -p opo/opo I uy, o (No Mjo of C 997. p m U um ou. T ff y uu of /, ff Equo p o Equ o of o xm. B o u, mo mo of popo f. A u, foo ouo m. + ( D & + & +. Sz ff of m /. o uo o oo fu / o. op of opo/. T poy om (o z ff mou u p o quo (Equo omp 3 mu. T u y ppop popo ouy of o o k p T u o. mou of 3. T oo of o k umy ou 5 mm of o. om T u f opo mu o mxmum z of. umy opo om 4. Popo mo. N f ff / (X. o. Ho, popo foo, mo opo o om o-m f of p m o o opo opo f- u ou. By y, f y of om ou k o ou, o o, po um EFEENCES u o o of y umy. T p of Ck, A. P. 95, om Do o fo HPC fo fu o y my p m, ACI jou py po, o 48, No., fu 45-56. x Co, M. P., M, D. & MGo, J. G. 993, Suu oo fo o, Co- m o, u, m o, uu 5, No.3, 7-34. po z uo (o, Su m o m ff of o ompoo, o SF Ik, N. & Uj, K. 98. o of u fo m o mo, m, Po. mpu, JSCE, J. mx m, o.. uu I u pm, ou No.93, - fomuo 9. fou o opo om Joo, H.L. 965. A opm u. o (X. 994. Ho, C Dopm 65(: 3-6. K, G. N.J. 967, Ho pp f ou m-mp fo xpo o po m?, ACI jou No po, Mjo 64, No.3, (997 8-4. op Po of FMCoS-7, My 3-8,

Koy, J D (, TH., Ujou, S. & Smy, M.. 5, Expm uy o py of p m, ( Po. of JCI, 7, No., 89-834. Kou, T K., popooy Wkym, T., Nok, off T. & Koy, D(,T H. 7, mou Eff of pmy p o o fu o of p fuo m, of Po. JSCE, J. umy m, o mpu uu T (Bž pm, 6, 97. No.4, T 798-84. mou m qu & Njj My,. G. & W, D. 963, S of m o m of m p u ou fom o fom of oum ff of y o, ( ACI o jou po, qu 6, o No., 83-7. of mou fux J Mooy, K. G., V, I. M., E,. C. & Ho, E. 954, S of fo o m P T of mp J m, ACI jou po, 6, No.4, ( 37-33. O, J. K. & S, S. W., S of fo T o o p m, xp ACI uu jou, um of 98, No., po 64-73. (py, Tk, po, Y., K, o T. & Mk, K. 5, o-po T ym uo mo of of C mm (my ou o f k o uo (M 966, zo, Po. JSCE, J. Pzopouo m, o & M uu 995. pm, I o No.788, 75- o um 93. po fuo of umy,, of yo,, of fum o,,.. (,, -p opo/opo om (No Mjo 997. U umpo y uu Equo o Equo o o + ( D (3 & + & + / op of opo/opo om (o mou py. T o quo (Equo 3 mu omp y ppop ouy oo. T o mou of po umy opo om f mu y umy opo om oppo. N ff (X. 994, foo, opo om u f o o opo opo oo. By y, f y of mou om ou k o ou, o ff o, po umy, mu u o o of o of y umy. T p of opo om fo HPC fu y my pm, py o fu x of m o, u, m po uu po z uo (-o-m o, m m ompoo, SF o, u m mo, mpu, mx,.. I u ou fomuo fou o opo om of om o (X. 994. Ho, p pp m-mp xpo popo y No Mjo (997 op u & T, xpy K. H. ou & Lu, H. Y. fo 999, S ouo o of of yo fo o SF p o. m T o opo ompo, om ACI o uu jou, 96, No.5, 836-845. Uo, H., Muuyo, H., Py, G.. & To,. 4, Io o o of fo o m o oo fom, Po. of JCI, 6, No., 7-3. ( Ummoo,,, G ( Y., Kou, K.,, Koy, + H. & Nok, T. 5, Expm uy of p m, ( pm ff p, Po. of JCI, 7, No., 83-88. (4 W, J. L, N. 994. Sz ff o ( m o, ACI uu jou, 9, No.5, K (, 585-593. Y, K. H., Cu, H. S., L, E. T. & Eu, H. C. 3, S of o p m ou f fom, m ( om E p uu, 5, 343-35. Z, pyy N. & T, ou K. H. (o 7. Sz ff C p o m: m Expm (py o om p STM fo: py E T uu, xpo 9, 34-354. oy fo o o. of SF. T off G p mou of p u oum po % umy, xp (No Mjo 997 G (, k + k (5 k k m pm. Fom mxmum mou of p u oum f po (o py po po, o u K o o K (,.88 +. G (6 T m pm k k y f xpm o f (po o o ou (D Luzo & Cu 9.. Tmpu ouo No, y, m o o m yo SF o xom, mpu f o ufom fo o- ym f om mpu o. H ouo o, fo mpu o x C (Bž & Kp 996, y Fou, q λ T (7 q fux, T ou mpu, λ ouy; Po of FMCoS-7, My 3-8,

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